Question

In the given fiqure, find the value of a, b and c.​

Answer 1

Answer:

Step-by-step explanation:

In given figure

<POS = <ROQ ( vertically opposite angles )

= 75 + b = 2c —— eq (1)

also,

<ROP =<QOS ( vertically opposite angles are equal )

= 4b = a —— eq (2)

and

<ROQ + <QOS = 180 ( sum of  linear pair of angles is 180)

= 2c + a = 180

using eq 2 and 1

75 +b +4b =180

5b = 180-75

5b = 105

b = 105/5 = 21

putting value of b in equation 1

75 +21 = 2c

96 = 2c

48 = c

puttimg value of b in equation 2

a = 4 b

a = 4 x21 = 84